11264457600 has 864 divisors, whose sum is σ = 46532814120. Its totient is φ = 2571264000.

The previous prime is 11264457587. The next prime is 11264457641. The reversal of 11264457600 is 675446211.

11264457600 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 4 + 45 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 304444782 + ... + 304444818.

Almost surely, 2^11264457600 is an apocalyptic number.

11264457600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11264457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23266407060).

11264457600 is an abundant number, since it is smaller than the sum of its proper divisors (35268356520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11264457600 is a wasteful number, since it uses less digits than its factorization.

11264457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 11264 and 457600, that added together give a palindrome (468864).

The spelling of 11264457600 in words is "eleven billion, two hundred sixty-four million, four hundred fifty-seven thousand, six hundred".